Question

Jesse runs 2 3/4 miles for 1/2 hour at a constant rate
What is Jesse speed in miles per hour?

Answer 1

To find Jesse's speed in miles per hour, we can use the formula for speed, which is:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

Jesse runs a distance of \( 2 \frac{3}{4} \) miles, which can be converted to an improper fraction:

\[
2 \frac{3}{4} = \frac{11}{4} \text{ miles}
\]

The time taken is \( \frac{1}{2} \) hour.

Now we can substitute the values into the speed formula:

\[
\text{Speed} = \frac{\frac{11}{4} \text{ miles}}{\frac{1}{2} \text{ hour}}
\]

To divide by a fraction, we multiply by its reciprocal:

\[
\text{Speed} = \frac{11}{4} \times \frac{2}{1} = \frac{11 \times 2}{4 \times 1} = \frac{22}{4} = \frac{11}{2} \text{ miles per hour}
\]

Now converting \( \frac{11}{2} \) into a decimal gives:

\[
\frac{11}{2} = 5.5
\]

Thus, Jesse's speed is \( \mathbf{5.5} \) miles per hour.